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Finding the Fourth Proportional to 22,272.25, 33,413.54 and 6,477.65

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Solution

The fourth proportional to 22,272.25, 33,413.54 and 6,477.65 is: 9,717.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,272.25 : 33,413.54 = 6,477.65 : x
  2. Step 2: Convert to fraction form
    22,272.25/33,413.54 = 6,477.65/x
  3. Step 3: Cross multiply
    22,272.25x = 33,413.54 × 6,477.65
  4. Step 4: Simplify right side
    22,272.25x = 216,441,268.53
  5. Step 5: Solve for x
    x = 216,441,268.53/22,272.25
  6. Step 6: Final answer
    x = 9,717.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.